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arXiv · 2010.15615

Gouy phase of type-I SPDC-generated biphotons

F. C. V. de Brito·I. G. da Paz·Brigitte Hiller·Jonas B. Araujo·Marcos Sampaio
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Abstract

We consider a double Gaussian approximation to describe the wavefunction of twin photons (also called a biphoton) created in a nonlinear crystal via a type-I spontaneous parametric downconversion (SPDC) process. We find that the wavefunction develops a Gouy phase while it propagates, being dependent of the two-photon correlation through the Rayleigh length. We evaluate the covariance matrix and show that the logarithmic negativity, useful in quantifying entanglement in Gaussian states, although Rayleigh-dependent, does not depend on the propagation distance. In addition, we show that the two-photon entanglement can be connected to the biphoton Gouy phase as these quantities are Rayleigh-length-related. Then, we focus the double Gaussian biphoton wavefunction using a thin lens and calculate a Gouy phase that is in reasonable agreement with the experimental data of D. Kawase et al. published in Ref. [1].

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F. C. V. de Brito, I. G. da Paz, Brigitte Hiller, Jonas B. Araujo, Marcos Sampaio. 2020-10-29. Gouy phase of type-I SPDC-generated biphotons. https://doi.org/10.1016/j.physleta.2020.126989

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